Search a number
-
+
5165103303321 = 3133113132612299
BaseRepresentation
bin100101100101001100000…
…1001011100101010011001
3200021210000221002221111020
41023022120021130222121
51134111112421201241
614552452105153053
71042111034453523
oct113123011345231
920253027087436
105165103303321
111711565184a75
126b504678b789
132b60b46bb9a0
1413bdc6d6ca13
158e55221db66
hex4b29825ca99

5165103303321 has 32 divisors (see below), whose sum is σ = 7714243891200. Its totient is φ = 3052511092800.

The previous prime is 5165103303203. The next prime is 5165103303337. The reversal of 5165103303321 is 1233033015615.

It is a happy number.

It is not a de Polignac number, because 5165103303321 - 215 = 5165103270553 is a prime.

It is a super-2 number, since 2×51651033033212 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5165103303341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16147771 + ... + 16464528.

It is an arithmetic number, because the mean of its divisors is an integer number (241070121600).

Almost surely, 25165103303321 is an apocalyptic number.

It is an amenable number.

5165103303321 is a deficient number, since it is larger than the sum of its proper divisors (2549140587879).

5165103303321 is a wasteful number, since it uses less digits than its factorization.

5165103303321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32612477.

The product of its (nonzero) digits is 24300, while the sum is 33.

Adding to 5165103303321 its reverse (1233033015615), we get a palindrome (6398136318936).

The spelling of 5165103303321 in words is "five trillion, one hundred sixty-five billion, one hundred three million, three hundred three thousand, three hundred twenty-one".

Divisors: 1 3 13 31 39 93 131 393 403 1209 1703 4061 5109 12183 52793 158379 32612299 97836897 423959887 1010981269 1271879661 3032943807 4272211169 12816633507 13142756497 39428269491 55538745197 132438546239 166616235591 397315638717 1721701101107 5165103303321